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Gaussian grids in R

On Mon, 12 Jul 2010, Paul Hiemstra wrote:

            
The key thing is that these grids are not really grids, as the step in the 
y (latitude) direction varies with latitude. Their planar representation, 
see http://www.cccma.ec.gc.ca/data/grids/geom_llg_96x48.shtml for example, 
is also very misleading near the poles. They are point data in 
geographical coordinates, or very possibly polygon support data with 
near-trapezoidal form (the north and south borders are straight lines, the 
east and west borders curves), centred on the identifying point.

They are a "fudge" to get something like equal area "rectangular" cells on 
a sphere (typically displayed as squares). An alternative are 
icosahedral?hexagonal grids or spherical geodesic grids, see 
http://kiwi.atmos.colostate.edu/pubs/CISE.pdf. These are a different kind 
of "fudge", probably with superior characteristics, but less "obvious" 
than the "square"-seeming impressive sounding "Gaussian" grid. The name is 
apparently given by:

The gridpoints along the longitudes are equally spaced, while they are 
unequally  spaced along the latitudes, where they are defined by their 
Gaussian quadrature. There are no grid points at the poles.

http://en.wikipedia.org/wiki/Gaussian_grid

and is concocted by:

http://www.ncl.ucar.edu/Document/Functions/Built-in/gaus.shtml

(This is similar to the "trick" used in sp plot methods for sp objects in 
geographical coordinates, which stretches the y axis proportional to the 
distance of the central y coordinate from the Equator).

It might be useful to be able to generate the correct spatial support for 
these kinds of data, both point and polygon - summer exercise for someone? 
Then they could be interpolated into fixed grids (NCAR nomenclature).

This is a typical ontology question, where one research community gives 
priority to its prefered view of the world, here climate modellers 
prefering a representation that makes modelling easier, but isn't graceful 
either with the world as it really exists, or with the representations of 
other sciences.

Roger